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Speed of Turbine given Unit Speed Formula

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Working speed of a hydroelectric plant depends on various factors such as the design of the plant, the type of turbines used, the head and flow rate of water, and the desired electrical output. Check FAQs

N = N u \cdot \sqrt{H}

N - Working Speed?N_u - Unit Speed?H - Fall Height?

Speed of Turbine given Unit Speed Example

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Here is how the Speed of Turbine given Unit Speed equation looks like with Values.

Here is how the Speed of Turbine given Unit Speed equation looks like with Units.

Here is how the Speed of Turbine given Unit Speed equation looks like.

348.7814 = 2.31 \cdot \sqrt{250}

348.7814rev/min = 2.31 \cdot \sqrt{250m}

348.7814 = 2.31 \cdot \sqrt{250}

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Speed of Turbine given Unit Speed Solution

Follow our step by step solution on how to calculate Speed of Turbine given Unit Speed?

FIRST Step Consider the formula

N = N u \cdot \sqrt{H}

Next Step Substitute values of Variables

∴

N = 2.31 \cdot \sqrt{250m}

Next Step Prepare to Evaluate

∴

N = 2.31 \cdot \sqrt{250}

Next Step Evaluate

∴

N = 36.5243069749448rad/s

Next Step Convert to Output's Unit

∴

N = 348.781439901856rev/min

LAST Step Rounding Answer

∴

N = 348.7814rev/min

Speed of Turbine given Unit Speed Formula Elements

Variables

Functions

Working Speed

Working speed of a hydroelectric plant depends on various factors such as the design of the plant, the type of turbines used, the head and flow rate of water, and the desired electrical output.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Working Speed

Unit Speed

Unit speed is defined as the speed of a geometrically similar turbine working under a head of 1m.

Symbol: N_u

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Unit Speed

Fall Height

Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to the turbine.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fall Height

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Hydroelectric Power Plant category

Go Energy Produced by Hydroelectric Power Plant

E = [g] \cdot ρ w \cdot Q \cdot H \cdot η \cdot t

Go Energy Produced by Hydroelectric Power Plant given Power

E = P h \cdot η \cdot t

Go Head or Height of Fall of Water given Power

H = \frac{P h}{[g] \cdot ρ w \cdot Q}

Go Flow Rate of Water given Power

Q = \frac{P h}{[g] \cdot ρ w \cdot H}

How to Evaluate Speed of Turbine given Unit Speed?

Speed of Turbine given Unit Speed evaluator uses Working Speed = Unit Speed*sqrt(Fall Height) to evaluate the Working Speed, The Speed of Turbine given Unit Speed formula is defined as rotational velocity of the turbine. Working Speed is denoted by N symbol.

How to evaluate Speed of Turbine given Unit Speed using this online evaluator? To use this online evaluator for Speed of Turbine given Unit Speed, enter Unit Speed (N_u) & Fall Height (H) and hit the calculate button.

FAQs on Speed of Turbine given Unit Speed

What is the formula to find Speed of Turbine given Unit Speed?

The formula of Speed of Turbine given Unit Speed is expressed as Working Speed = Unit Speed*sqrt(Fall Height). Here is an example- 3330.617 = 2.31*sqrt(250).

How to calculate Speed of Turbine given Unit Speed?

With Unit Speed (N_u) & Fall Height (H) we can find Speed of Turbine given Unit Speed using the formula - Working Speed = Unit Speed*sqrt(Fall Height). This formula also uses Square Root (sqrt) function(s).

Can the Speed of Turbine given Unit Speed be negative?

No, the Speed of Turbine given Unit Speed, measured in Angular Velocity cannot be negative.

Which unit is used to measure Speed of Turbine given Unit Speed?

Speed of Turbine given Unit Speed is usually measured using the Revolution per Minute[rev/min] for Angular Velocity. Radian per Second[rev/min], Radian per Day[rev/min], Radian per Hour[rev/min] are the few other units in which Speed of Turbine given Unit Speed can be measured.

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Speed of Turbine given Unit Speed Formula

Speed of Turbine given Unit Speed Example

Speed of Turbine given Unit Speed Solution

Speed of Turbine given Unit Speed Formula Elements

Other formulas in Hydroelectric Power Plant category

How to Evaluate Speed of Turbine given Unit Speed?

FAQs on Speed of Turbine given Unit Speed

Variable Name